Course detail

Selected Topics from Biometrics

FSI-0VMAcad. year: 2013/2014

The main attention will be devoted to the following topics: multivariate biometrical methods, comparisons of multivariate populations, methods of classification and generalized linear models with biometrical applications.

Language of instruction

Czech

Number of ECTS credits

4

Mode of study

Not applicable.

Guarantor

doc. RNDr. Jaroslav Michálek, CSc.

Department

Institute of Mathematics (ÚM)

Learning outcomes of the course unit

Students acquire needed knowledge from important parts of biometrics, which will enable them to evaluate and develop stochastic models of biometric processes and realize them on PC.

Prerequisites

Rudiments of probability theory and mathematical statistics, linear models.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

The course is taught through lectures explaining the basic principles and theory of the discipline. Exercises are focused on practical topics presented in lectures.

Assesment methods and criteria linked to learning outcomes

Course-unit credit requirements: Passing exam and preparing and defending a project.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

The course objective is to make students acquainted with basic statistical methods used in biometrical applications.

Specification of controlled education, way of implementation and compensation for absences

Attendance at seminars is controlled and the teacher decides on the compensation for absences.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Dobson A.: An Introduction to Generalized Linear Models. Chapman&Hall, London, 1997
Johnson, R.A. and Wichern, D.W.: Applied Multivariate Statistical Analysis. Prentice Hall International Editions. London. 1992
Pepe, M.S.: The Statistical Evaluation of Medical Tests for Classification and Prediction. Oxford Statistical Science Series 31. Oxford University Press. 2004.

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme N3901-2 Master's

    branch M-MAI , 2 year of study, winter semester, elective (voluntary)

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

doc. RNDr. Jaroslav Michálek, CSc.

Syllabus

An introduction to multivariate biometrical methods
Inferences about several multivariate populations
Principal components
Discriminantion and classification
Statistical evaluation of medical tests - ROC analysis
Generalized linear models
Probit and logit analysis
Biometrical applications

Computer-assisted exercise

26 hod., compulsory

Teacher / Lecturer

doc. RNDr. Jaroslav Michálek, CSc.

Syllabus

An introduction to multivariate biometrical methods
Inferences about several multivariate populations
Principal components
Discriminantion and classification
Statistical evaluation of medical tests - ROC analysis
Generalized linear models
Probit and logit analysis
Biometrical applications